Ma 108C. Complex Analysis


MWF 11:00 - 11:55 am, 269 Lauritsen Physics Laboratory

Office Hours (tentative)

MWF 4:00 - 5:00 pm

About this course

In this course, we explore the foundations of complex analysis in one variable. The main object of study are holomorphic functions, which are functions that are differentiable in the complex sense. Strangely enough, if such a function can be differentiated once, it can be differentiated infinitely many times, and in fact admits a power series expansion (i.e. is analytic). To prove this remarkable fact, we develop integration along contours (Cauchy's theorem). Another remarkable property of holomorphic functions is that the value of a holomorphic function at a point z in a domain Omega can be recovered from the values of the function on the boundary of Omega. Further topics include: the Schwarz lemma, the argument principle and residue calculus.


There are many wonderful books on complex analysis. You should acquire one of them:

Marking scheme (tentative)

We will have five homework assignments, worth 12% each. The final will be 40%, due the last day of classes.